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• W2100189840 abstract "Motivated by a desire to gain a better understanding of the dimension- by-dimension decompositions of certain prominent monads in higher category theory, we investigate descent theory for endofunctors and monads. After setting up a basic framework of indexed monoidal categories, we describe a suitable subcategory of Cat over which we can view the assignment C 7! Mnd(C) as an indexed category; on this base category, there is a natural topology. Then we single out a class of monads which are well-behaved with respect to reindexing. The main result is now, that such monads form a stack. Using this, we can shed some light on the free strict !-category monad on globular sets and the free operad-with-contraction monad on the category of collections." @default.
• W2100189840 created "2016-06-24" @default.
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• W2100189840 date "2006-01-01" @default.
• W2100189840 modified "2023-09-23" @default.
• W2100189840 title "DESCENT FOR MONADS" @default.
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